On the Observability and Stability of the Temperature Distribution in a Composite Heat Conductor

An infinite slab of finite thickness is composed of two given homogeneous isotropic slab heat conductors whose thermal properties are constants. Assuming that temperature conditions uniform in the space variables are applied and maintained at the boundaries, the problem of the observability of the t...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1973-06, Vol.24 (4), p.596-602
Main Authors: Cannon, J. R., Klein, R. E.
Format: Article
Language:English
Subjects:
Geometric planes
Heat
Integers
Mathematical constants
Mathematical problems
Temperature
Temperature distribution
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Summary:An infinite slab of finite thickness is composed of two given homogeneous isotropic slab heat conductors whose thermal properties are constants. Assuming that temperature conditions uniform in the space variables are applied and maintained at the boundaries, the problem of the observability of the temperature distribution inside from the boundary temperatures and the temperature at the interface of the two different materials is considered. Continuous dependence of the temperature distribution upon the data is studied.
ISSN:0036-1399
1095-712X
DOI:10.1137/0124061